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835152640 = 2857831123
BaseRepresentation
bin110001110001110…
…110101100000000
32011012111011001021
4301301312230000
53202244341030
6214512115224
726460452230
oct6161665400
92135434037
10835152640
113994705a3
121b3835b14
1310404027a
147ccb9cc0
154d4bc97a
hex31c76b00

835152640 has 144 divisors (see below), whose sum is σ = 2315835648. Its totient is φ = 282636288.

The previous prime is 835152613. The next prime is 835152649. The reversal of 835152640 is 46251538.

It is a junction number, because it is equal to n+sod(n) for n = 835152596 and 835152605.

It is not an unprimeable number, because it can be changed into a prime (835152649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743119 + ... + 744241.

It is an arithmetic number, because the mean of its divisors is an integer number (16082192).

Almost surely, 2835152640 is an apocalyptic number.

835152640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 835152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157917824).

835152640 is an abundant number, since it is smaller than the sum of its proper divisors (1480683008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

835152640 is a wasteful number, since it uses less digits than its factorization.

835152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 835152640 is about 28899.0075954175. The cubic root of 835152640 is about 941.7203443788.

The spelling of 835152640 in words is "eight hundred thirty-five million, one hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 83 112 128 140 160 166 224 256 280 320 332 415 448 560 581 640 664 830 896 1120 1123 1162 1280 1328 1660 1792 2240 2246 2324 2656 2905 3320 4480 4492 4648 5312 5615 5810 6640 7861 8960 8984 9296 10624 11230 11620 13280 15722 17968 18592 21248 22460 23240 26560 31444 35936 37184 39305 44920 46480 53120 62888 71872 74368 78610 89840 92960 93209 106240 125776 143744 148736 157220 179680 185920 186418 251552 287488 314440 359360 371840 372836 466045 503104 628880 652463 718720 743680 745672 932090 1006208 1257760 1304926 1437440 1491344 1864180 2012416 2515520 2609852 2982688 3262315 3728360 5031040 5219704 5965376 6524630 7456720 10062080 10439408 11930752 13049260 14913440 20878816 23861504 26098520 29826880 41757632 52197040 59653760 83515264 104394080 119307520 167030528 208788160 417576320 835152640